A kinetic formulation for a model coupling free surface and pressurised flows in closed pipes

DOI10.1016/j.cam.2007.09.009zbMath1152.76020OpenAlexW2135250334MaRDI QIDQ932740

Marguerite Gisclon, Stéphane Gerbi, Christian Bourdarias

Publication date: 11 July 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.09.009

zbMATH Keywords

energy minimizationGibbs equilibriumSaint-Venant equations

Mathematics Subject Classification ID

Variational methods applied to problems in fluid mechanics (76M30) Incompressible inviscid fluids (76B99)

Related Items (9)

Optimizing Intermittent Water Supply in Urban Pipe Distribution Networks ⋮ A model for unsteady mixed flows in non uniform closed water pipes and a well-balanced finite volume scheme ⋮ A kinetic scheme for the one-dimensional open channel flow equations with applications on networks ⋮ An exact Riemann solver and a Godunov scheme for simulating highly transient mixed flows ⋮ A mathematical model for unsteady mixed flows in closed water pipes ⋮ Unsteady mixed flows in non uniform closed water pipes: a full kinetic approach ⋮ 1D unified mathematical model for environmental flow applied to steady aerated mixed flows ⋮ A kinetic scheme for unsteady pressurised flows in closed water pipes ⋮ On the rigid-lid approximation of shallow water Bingham

Cites Work

• A conservative model for unsteady flows in deformable closed pipes and its implicit second-order finite volume discretisation
• A kinetic scheme for the Saint-Venant system with a source term
• A finite volume scheme for a model coupling free surface and pressurised flows in pipes
• Equilibrium schemes for scalar conservation laws with stiff sources
• Unnamed Item

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